Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 661/9558,615/4029
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 661,615
Greatest Common Factor of Numerators i.e. GCF of 661,615 is 1 .
LCM of Denominators means LCM of 9558,4029 as per the given fractions.
LCM of 9558,4029 is 12836394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 661,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 661,615 . The biggest common factor number is the GCF number.
So the greatest common factor 661,615 is 1.
Lets's calculate LCM of 9558,4029
3 | 9558, 4029 |
3186, 1343 |
∴ So the LCM of the given numbers is 3 x 3186 x 1343 = 12836394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12836394
Therefore, the GCF of Fractions 661/9558,615/4029 is 1/12836394
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 9558,4029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9558,4029) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9558,4029) x common factors =3 x 1 = 3
LCM(9558,4029) = ( 9558 × 4029 ) / 3
LCM(9558,4029) = 38509182 / 3
LCM(9558,4029) = 12836394
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 661/9558, 615/4029?
Answer: GCF of Numerators as per given numbers 661/9558, 615/4029 is
GCF of Numerators i.e. for 661,615 is 1
LCM of denominators i.e. for 9558,4029 is 12836394.
Thus, GCF of Fractions is 1/12836394.Finally, GCF of Fractions for 661/9558, 615/4029 is 1/12836394.